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12023040 = 283531101
BaseRepresentation
bin101101110111…
…010100000000
3211121211111210
4231313110000
511034214130
61105410120
7204123411
oct55672400
924554453
1012023040
1168720a7
124039940
13264c633
14184d808
1510c75b0
hexb77500

12023040 has 144 divisors (see below), whose sum is σ = 40029696. Its totient is φ = 3072000.

The previous prime is 12023021. The next prime is 12023051. The reversal of 12023040 is 4032021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118990 + ... + 119090.

It is an arithmetic number, because the mean of its divisors is an integer number (277984).

Almost surely, 212023040 is an apocalyptic number.

12023040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20014848).

12023040 is an abundant number, since it is smaller than the sum of its proper divisors (28006656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12023040 is a wasteful number, since it uses less digits than its factorization.

12023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12023040 is about 3467.4255579608. The cubic root of 12023040 is about 229.0892782586.

Adding to 12023040 its reverse (4032021), we get a palindrome (16055061).

The spelling of 12023040 in words is "twelve million, twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 101 120 124 128 155 160 186 192 202 240 248 256 303 310 320 372 384 404 465 480 496 505 606 620 640 744 768 808 930 960 992 1010 1212 1240 1280 1488 1515 1616 1860 1920 1984 2020 2424 2480 2976 3030 3131 3232 3720 3840 3968 4040 4848 4960 5952 6060 6262 6464 7440 7936 8080 9393 9696 9920 11904 12120 12524 12928 14880 15655 16160 18786 19392 19840 23808 24240 25048 25856 29760 31310 32320 37572 38784 39680 46965 48480 50096 59520 62620 64640 75144 77568 93930 96960 100192 119040 125240 129280 150288 187860 193920 200384 250480 300576 375720 387840 400768 500960 601152 751440 801536 1001920 1202304 1502880 2003840 2404608 3005760 4007680 6011520 12023040